Higher November 2020 Paper 2R Q14
14 Sandeep sat 11 tests in January 2020
Each test was marked out of 60
Here are his test results.
45 41 35 44 38 47 47 39 37 43 42
(a) Find the interquartile range of these test results.
Show your working clearly. (3)
Show your working clearly. (3)
Sandeep also sat some tests in May 2020
Each test was marked out of 60
The median of the May 2020 test results is 42
The interquartile range of the May 2020 test results is 12
(b) In which month, January or May, were Sandeep’s test results more consistent?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Scheme | Marks |
|---|---|
| 35 37 38 39 41 42 43 44 45 47 47 | M1 |
| M1 | |
| 7 | A1 |
| (3) |
Notes
M1: Ordering values (allow 1 error)
error may include missing a value
May be implied by correct values for LQ and UQ.
M1: LQ = 38 and UQ = 45 identified
| Scheme | Marks |
|---|---|
| January and reason using IQR | B1 |
| (1) | |
| (4 marks) |
Notes
B1: ft from part (a)
January as the IQR is lower oe
ignore irrelevant statements about the median if given in addition to correct statements about IQR.